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Ideal Gas Equation

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Question

A sample of ideal gas at $27^{o}$ C and $1.00$ atm pressure occupies $2.50$ L. What temperature is required to adjust the pressure of that gas to $1.50$ atm after it has been transferred to a $2.00$ L container(Answer in kelvin)?

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Solution

moles will be same
$\frac{P_{1} V_{1}}{R_{1} T_{1}} = \frac{P_{2} V_{2}}{R_{2} T_{2}} \Rightarrow \frac{(1) (2 - 5)}{300} = \frac{(1.5) (2)}{x}$
$X = \frac{900 \times 2}{5}$
$T_{2} = 360 K$

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